Answer:
1. x = 6
Solution:
AB is congruent ti CD
3x – 5 = x + 7
3x – x = 7 + 5
2x = 12
x = 6
2. AB = 13
AB = 3x –5
= 3(6) – 5
= 18 ‐ 5
AB = 13
3. y = 10
Solution
AD || BC
y + 3 = 2y – 7
y – 2y = –7 – 3
–y = –10
y = 10
4. AD = 13
AD = y + 3
AD = 10 + 3
AD = 13
5. P = 52
SOLUTION:
P = 3x – 5 + x + 7 + 2y – 7 + y + 3
P = 3(6) – 5 + 6 + 7 + 2(10) – 7 + 10 + 3
P = 18 – 5 + 6 + 7 + 20 – 7 + 10 + 3
P = 52
1.) (3x-5) cm = (x+7) cm
3x - 5 = x + 7
3x - x = 7 + 5
2.) substitute the value of x
AB = (3x - 5) cm
AB = [3(6) - 5] cm
AB = (18 - 5) cm
AB = 13 cm
3.) (2y-7) cm = (y+3) cm
2y - 7 = y + 3
2y - y = 7 + 3
4.) substitute the value of y
AD = (y+3) cm
AD = (10 + 3) cm
AD = 13 cm
5.) 13 cm + 13 cm + 13 cm + 13 cm = 52 cm
The perimeter of the parallelogram ABCD is 52 cm.
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Answers & Comments
Answer:
1. x = 6
Solution:
AB is congruent ti CD
3x – 5 = x + 7
3x – x = 7 + 5
2x = 12
x = 6
2. AB = 13
Solution:
AB = 3x –5
= 3(6) – 5
= 18 ‐ 5
AB = 13
3. y = 10
Solution
AD || BC
y + 3 = 2y – 7
y – 2y = –7 – 3
–y = –10
y = 10
4. AD = 13
Solution:
AD = y + 3
AD = 10 + 3
AD = 13
5. P = 52
SOLUTION:
P = 3x – 5 + x + 7 + 2y – 7 + y + 3
P = 3(6) – 5 + 6 + 7 + 2(10) – 7 + 10 + 3
P = 18 – 5 + 6 + 7 + 20 – 7 + 10 + 3
P = 52
1.) (3x-5) cm = (x+7) cm
3x - 5 = x + 7
3x - x = 7 + 5
2x = 12
x = 6
2.) substitute the value of x
AB = (3x - 5) cm
AB = [3(6) - 5] cm
AB = (18 - 5) cm
AB = 13 cm
3.) (2y-7) cm = (y+3) cm
2y - 7 = y + 3
2y - y = 7 + 3
y = 10
4.) substitute the value of y
AD = (y+3) cm
AD = (10 + 3) cm
AD = 13 cm
5.) 13 cm + 13 cm + 13 cm + 13 cm = 52 cm
The perimeter of the parallelogram ABCD is 52 cm.